-k^2+2k-11k=-10

Solution for -k^2+2k-11k=-10 equation:

Simplifying
-1k2 + 2k + -11k = -10

Reorder the terms:
2k + -11k + -1k2 = -10

Combine like terms: 2k + -11k = -9k
-9k + -1k2 = -10

Solving
-9k + -1k2 = -10

Solving for variable 'k'.

Reorder the terms:
10 + -9k + -1k2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -9k + -1k2 = 0

Factor a trinomial.
(1 + -1k)(10 + k) = 0

Subproblem 1
Set the factor '(1 + -1k)' equal to zero and attempt to solve:

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1k = 0 + -1
-1k = 0 + -1

Combine like terms: 0 + -1 = -1
-1k = -1

Divide each side by '-1'.
k = 1

Simplifying
k = 1
Subproblem 2
Set the factor '(10 + k)' equal to zero and attempt to solve:

Simplifying
10 + k = 0

Solving
10 + k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + k = 0 + -10
k = 0 + -10

Combine like terms: 0 + -10 = -10
k = -10

Simplifying
k = -10
Solution
k = {1, -10}